Optical soliton to multi-core (coupling with all the neighbors) directional couplers and modulation instability

• Published in: European physical journal plus Vol. 136; no. 3; p. 325
• Main Authors: Abbagari, Souleymanou, Houwe, Alphonse, Rezazadeh, Hadi, Bekir, Ahmet, Bouetou, Thomas Bouetou, Crépin, Kofané Timoléon
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-03-2021; Springer Nature B.V
• Subjects: Applied and Technical Physics; Atomic; Complex Systems; Condensed Matter Physics; Coupling; Directional couplers; Investigations; Jacobian elliptic functions; Mathematical and Computational Physics; Metamaterials; Modulation; Molecular; Nonlinear optics; Nonlinearity; Optical and Plasma Physics; Parameters; Partial differential equations; Physical properties; Physics; Physics and Astronomy; Regular Article; Solitary waves; Theoretical; Trigonometric functions
• ISSN: 2190-5444; 2190-5444
• DOI: 10.1140/epjp/s13360-021-01329-8

n this research paper under consideration is the nonlinear multi-core coupler (coupling with all neighbors) with the parabolic law nonlinearity and optical metamaterials parameters. The integration scheme, namely the New sub-ODE method, is used to extract bright, dark, trigonometric function solutions, Jacobian elliptic function solutions and Weierstrass elliptic function solutions. To better understand the physical phenomena of the gained solutions, some physical explanation of the presented solutions under suitable values for the physical parameters via the 3D, 2D and contour simulations is given. The confrontation between the nonlinear and dispersion terms has permitted to study the behavior of the modulation instability (MI) gain spectra. The results obtained in this article are more general than those contained in the following papers [
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] and will help to explain the virtue of the nonlinear optical birefringent.